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The operator \(B^*L\) for the wave equation with Dirichlet control. (English) Zbl 1065.35171

Summary: In the case of the wave equation, defined on a sufficiently smooth bounded domain of arbitrary dimension, and subject to Dirichlet boundary control, the operator \(B^*L\) from boundary to boundary is bounded in the \(L_2\)-sense. The proof combines hyperbolic differential energy methods with a microlocal elliptic component.
This is a corrigendum and addendum to the authors’ paper [ibid. 2003, No. 19, 1061–1139 (2003; Zbl 1064.35100)].

MSC:

35L20 Initial-boundary value problems for second-order hyperbolic equations
93C20 Control/observation systems governed by partial differential equations

Citations:

Zbl 1064.35100
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